Is There a Way to "Render" the sound itself in Blender?
There is active research happening in this field currently and Stanford is in the forefront of this research. They presented their work at SIGGRAPH, 2018. I hope soon it can be integrated to Blenderv2.8. Check out their work on the same - 

Paper - https://graphics.stanford.edu/projects/wavesolver/

Video Explanation - https://www.youtube.com/watch?v=2mjPxcE8UDg

Articles - https://engineering.stanford.edu/magazine/article/crash-bam-plop-new-system-brings-sounds-animation-life